This study proposes to compare the effect of 48 weeks exposure to pegylated interferon alpha vs. nucleoside analogue (NA) on hepatitis B e antigen (HBeAg) seroconversion and HBsAg levels in nucleoside analogue controlled HBeAg-positive chronic hepatitis B (CHB) patients who have an undetectable hepatitis B virus (HBV) viral load at least 1 years.